Drinking and dating are a bad combination, IMO. I know it's generally expected but alcohol does have an affect on judgment, perception, and ability to pick up on red flags in the beginning.
In the long run it can really kill intimacy, and lead to dangerous and embarrassing situations. Not just for alcoholics but anyone who drinks regularly.
Ideally you'll find someone else who doesn't drink. I'm dating someone at work who drinks rarely and doesn't around me. My ex-husband and ex-boyfriend rarely drank either, and my drinking always bothered them. Someone out there is really going to admire your sobriety and be glad about it